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Hardy-Littlewood截断极大算子的Lp范数的连续性OACSTPCD

Continuity of the Lp-norm of the truncated Hardy-Littlewood maximal operator

中文摘要

英文摘要

研究截断极大算子Mab的Lp(Rn)→ Lp(Rn)范数的连续性.首先,分别给出|| Mab ||Lp(Rn)→L(Rn)关于参数θ=b/a的左右连续性,然后证明|| Mab ||Lp(Rn)→Lp(Rn)在无穷远处的连续性.

This paper focuses on the continuity of Lp(Rn)→Lp(Rn)-norm of the truncated Hardy-Littlewood maximal operator Mab with two truncation parameters a and b.We first,respectively,present the left semi-continuity and right semicontinuity of || Mab || Lp(Rn)→Lp(Rn)with respect to θ=b/a,and then the continuity of || Mba || Lp(Rn)→Lp(Rn)is extended to infinity.

作者：武嘉;魏明权;燕敦验

作者单位：中国科学院大学数学科学学院,北京 100049信阳师范学院数学与统计学院,河南信阳 464000

分类：数学

中文关键词：截断极大算子连续性Lp(Rn)→Lp(Rn)范数

英文关键词：truncated maximal operatorcontinuityLp(Rn)→Lp(Rn)-norm

刊名：《中国科学院大学学报》 2024 (001)

相关项目：与曲率相关的两类调和分析问题

页码/页数：28-34 / 7

基金： Supported by the National Natural Science Foundation of China(11871452,12071052),the Natural Science Foundation of Henan(202300410338),and the Nanhu Scholar Program for Young Scholars of XYNU

DOI：10.7523/j.ucas.2021.0073

Hardy-Littlewood截断极大算子的Lp范数的连续性OACSTPCD

Continuity of the Lp-norm of the truncated Hardy-Littlewood maximal operator

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